English

Quantum probabilities from combination of Zurek's envariance and Gleason's theorem

Quantum Physics 2014-12-23 v2

Abstract

The quantum-mechanical rule for probabilities, in its most general form of positive-operator valued measure (POVM), is shown to be a consequence of the environment-assisted invariance (envariance) idea suggested by Zurek [Phys. Rev. Lett. 90, 120404 (2003)], being completed by Gleason's theorem. This provides also a method for derivation of the Born rule.

Keywords

Cite

@article{arxiv.1406.0138,
  title  = {Quantum probabilities from combination of Zurek's envariance and Gleason's theorem},
  author = {A. V. Nenashev},
  journal= {arXiv preprint arXiv:1406.0138},
  year   = {2014}
}

Comments

6 pages, 4 figures, little cosmetic changes compared to the previous version